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Simplifying 2(a + -8) + 7 = 5(x + 2) + -3x + -19 Reorder the terms: 2(-8 + a) + 7 = 5(x + 2) + -3x + -19 (-8 * 2 + a * 2) + 7 = 5(x + 2) + -3x + -19 (-16 + 2a) + 7 = 5(x + 2) + -3x + -19 Reorder the terms: -16 + 7 + 2a = 5(x + 2) + -3x + -19 Combine like terms: -16 + 7 = -9 -9 + 2a = 5(x + 2) + -3x + -19 Reorder the terms: -9 + 2a = 5(2 + x) + -3x + -19 -9 + 2a = (2 * 5 + x * 5) + -3x + -19 -9 + 2a = (10 + 5x) + -3x + -19 Reorder the terms: -9 + 2a = 10 + -19 + 5x + -3x Combine like terms: 10 + -19 = -9 -9 + 2a = -9 + 5x + -3x Combine like terms: 5x + -3x = 2x -9 + 2a = -9 + 2x Add '9' to each side of the equation. -9 + 9 + 2a = -9 + 9 + 2x Combine like terms: -9 + 9 = 0 0 + 2a = -9 + 9 + 2x 2a = -9 + 9 + 2x Combine like terms: -9 + 9 = 0 2a = 0 + 2x 2a = 2x Solving 2a = 2x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '2'. a = x Simplifying a = x
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